We always refuel before entering a risky part of travel. Never count on getting there. Make sure. And in a scenario like this that refuel could provide a days worth of heat, depending. No matter what, it's a lot more heat than driving at reduced capacity would have yielded.
Rough metric is you get 1 hour of engine idle per gallon. Some cars do better than that. And you can pulse it, warm vehicle up, make sure everything gets charged, fluids able to flow, etc... and then shut down for 1/2 hour or so in order to stretch the resource.
We carry:
-2 gallons of water
-Car road trouble kit, flairs, compressor, various tools, tape, things...
-First Aid
-Some food
And this is usually our road munchies, pet food, etc...
-Weather related stuff